UID:
almahu_9948233893102882
Format:
1 online resource (viii, 243 pages) :
,
digital, PDF file(s).
ISBN:
9780511753626 (ebook)
Series Statement:
Encyclopedia of mathematics and its applications ; volume 141
Content:
The author describes the recently developed theory of Hadamard expansions applied to the high-precision (hyperasymptotic) evaluation of Laplace and Laplace-type integrals. This brand new method builds on the well-known asymptotic method of steepest descents, of which the opening chapter gives a detailed account illustrated by a series of examples of increasing complexity. A discussion of uniformity problems associated with various coalescence phenomena, the Stokes phenomenon and hyperasymptotics of Laplace-type integrals follows. The remaining chapters deal with the Hadamard expansion of Laplace integrals, with and without saddle points. Problems of different types of saddle coalescence are also discussed. The text is illustrated with many numerical examples, which help the reader to understand the level of accuracy achievable. The author also considers applications to some important special functions. This book is ideal for graduate students and researchers working in asymptotics.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Preface; 1. Asymptotics of Laplace-type integrals; 2. Hadamard expansion of Laplace integrals; 3. Hadamard expansion of Laplace-type integrals; 4. Applications.
Additional Edition:
Print version: ISBN 9781107002586
Language:
English
URL:
https://doi.org/10.1017/CBO9780511753626
